Mott-Hubbard Transition and Anderson Localization: Generalized Dynamical Mean-Field Theory Approach
Abstract
Density of states, dynamic (optical) conductivity and phase diagram of strongly correlated and strongly disordered paramagnetic Anderson-Hubbard model are analyzed within the generalized dynamical mean field theory (DMFT+\Sigma approximation). Strong correlations are accounted by DMFT, while disorder is taken into account via the appropriate generalization of self-consistent theory of localization. The DMFT effective single impurity problem is solved by numerical renormalization group (NRG) and we consider the three-dimensional system with semi-elliptic density of states. Correlated metal, Mott insulator and correlated Anderson insulator phases are identified via the evolution of density of states and dynamic conductivity, demonstrating both Mott-Hubbard and Anderson metal-insulator transition and allowing the construction of complete zero-temperature phase diagram of Anderson-Hubbard model. Rather unusual is the possibility of disorder induced Mott insulator to metal transition.
Cite
@article{arxiv.0706.2618,
title = {Mott-Hubbard Transition and Anderson Localization: Generalized Dynamical Mean-Field Theory Approach},
author = {E. Z. Kuchinskii and I. A. Nekrasov and M. V. Sadovskii},
journal= {arXiv preprint arXiv:0706.2618},
year = {2009}
}